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Finding the Fourth Proportional to 20,874.52, 31,315.02 and 7,022.44

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Solution

The fourth proportional to 20,874.52, 31,315.02 and 7,022.44 is: 10,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.52 : 31,315.02 = 7,022.44 : x
  2. Step 2: Convert to fraction form
    20,874.52/31,315.02 = 7,022.44/x
  3. Step 3: Cross multiply
    20,874.52x = 31,315.02 × 7,022.44
  4. Step 4: Simplify right side
    20,874.52x = 219,907,770.76
  5. Step 5: Solve for x
    x = 219,907,770.76/20,874.52
  6. Step 6: Final answer
    x = 10,534.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.